(Solved): Urgent!!! Urgent!!! Please Answer Within AN HOUR!!! Thank You. Given 2 observations and 2, th ...

Urgent!!! Urgent!!! Please Answer Within AN HOUR!!! Thank You.

Given 2 observations ? and £2, the task is to choose between hypotheses Ho and H?: Ho xn = Wn, H? xn = A + Wn, n = 1,2 where wi N(0, 0²) and w? ~ N(0, 02) are independent. Furthermore, A, o² and o² are unknown but it is known that A > 0 and the variance ratio is a = 02/02. According to the Neyman Pearson theorem, determine a decision statistic for choosing between Ho and H?, and then write down the decision rule. (15 marks)